3431414124100 has 18 divisors (see below), whose sum is σ = 7446168649514. Its totient is φ = 1372565649600.

The previous prime is 3431414124091. The next prime is 3431414124139. The reversal of 3431414124100 is 14214141343.

It can be written as a sum of positive squares in 3 ways, for example, as 60099503104 + 3371314620996 = 245152^2 + 1836114^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17157070521 + ... + 17157070720.

Almost surely, 2^{3431414124100} is an apocalyptic number.

It is an amenable number.

3431414124100 is an abundant number, since it is smaller than the sum of its proper divisors (4014754525414).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3431414124100 is a wasteful number, since it uses less digits than its factorization.

3431414124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34314141255 (or 34314141248 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 3431414124100 its reverse (14214141343), we get a palindrome (3445628265443).

The spelling of 3431414124100 in words is "three trillion, four hundred thirty-one billion, four hundred fourteen million, one hundred twenty-four thousand, one hundred".